{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:P7W3IYOHI2SUOW2WVVNO5ASX6C","short_pith_number":"pith:P7W3IYOH","canonical_record":{"source":{"id":"1810.10189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-24T05:11:34Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"title_canon_sha256":"36b2e5484ac514c2d7cb8b25c22d497b7ebc8bd4b0ddedd161b0cb847468f43e","abstract_canon_sha256":"ab608643dee42316726131402ec80e9b33332af0300d1bd41030412f09396e68"},"schema_version":"1.0"},"canonical_sha256":"7fedb461c746a5475b56ad5aee8257f08715616fb0b4e3d39ba3b39e11bfdc64","source":{"kind":"arxiv","id":"1810.10189","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10189","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10189v1","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10189","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"P7W3IYOHI2SU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7W3IYOHI2SUOW2W","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7W3IYOH","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:P7W3IYOHI2SUOW2WVVNO5ASX6C","target":"record","payload":{"canonical_record":{"source":{"id":"1810.10189","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-24T05:11:34Z","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"title_canon_sha256":"36b2e5484ac514c2d7cb8b25c22d497b7ebc8bd4b0ddedd161b0cb847468f43e","abstract_canon_sha256":"ab608643dee42316726131402ec80e9b33332af0300d1bd41030412f09396e68"},"schema_version":"1.0"},"canonical_sha256":"7fedb461c746a5475b56ad5aee8257f08715616fb0b4e3d39ba3b39e11bfdc64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:08.710113Z","signature_b64":"fC99wJWNIVYVLELkAmRtt6SJtiGVJIJ3Q2c8oaJF8Lcx5Dg5LvommJz3bU+ngm5Wd0/PjT9fjv73s/HSYp3zCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fedb461c746a5475b56ad5aee8257f08715616fb0b4e3d39ba3b39e11bfdc64","last_reissued_at":"2026-05-18T00:02:08.709536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:08.709536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.10189","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KSzE3gqvv+7FtckBmvR2McdP9PYTGkB3ljbmOIhDJLECsCVY8XNH0TuoJEU6sF4weOB+nh//rzKrhN4bbbKNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:52:43.446240Z"},"content_sha256":"70aacde42016b24082e2bc68f8d0e98d97ec9ef3506f0aa5ec2320f80999d463","schema_version":"1.0","event_id":"sha256:70aacde42016b24082e2bc68f8d0e98d97ec9ef3506f0aa5ec2320f80999d463"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:P7W3IYOHI2SUOW2WVVNO5ASX6C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Origin of fermion generations from extended noncommutative geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Bo-Qiang Ma, Hefu Yu","submitted_at":"2018-10-24T05:11:34Z","abstract_excerpt":"We propose a way to understand the 3 fermion generations by the algebraic structures of noncommutative geometry, which is a promising framework to unify the standard model and general relativity. We make the tensor product extension and the quaternion extension on the framework. Each of the two extensions alone keeps the action invariant, and we consider them as the almost trivial structures of the geometry. We combine the two extensions, and show the corresponding physical effects, i.e., the emergence of 3 fermion generations and the mass relationships among those generations. We define the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10189","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jx2awcJynqGKt/eRDA43YoloumzrtAdRun+lOPckzmmWMix9AFHzOtRnbqiFNN7bPmD5oddzan+4KPby6zGeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T15:52:43.446956Z"},"content_sha256":"dfff4ad695cab2a80953932f589587e41582c9a3c25eda1bbe78d8d3e4c43e31","schema_version":"1.0","event_id":"sha256:dfff4ad695cab2a80953932f589587e41582c9a3c25eda1bbe78d8d3e4c43e31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/bundle.json","state_url":"https://pith.science/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T15:52:43Z","links":{"resolver":"https://pith.science/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C","bundle":"https://pith.science/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/bundle.json","state":"https://pith.science/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7W3IYOHI2SUOW2WVVNO5ASX6C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:P7W3IYOHI2SUOW2WVVNO5ASX6C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ab608643dee42316726131402ec80e9b33332af0300d1bd41030412f09396e68","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-24T05:11:34Z","title_canon_sha256":"36b2e5484ac514c2d7cb8b25c22d497b7ebc8bd4b0ddedd161b0cb847468f43e"},"schema_version":"1.0","source":{"id":"1810.10189","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.10189","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"1810.10189v1","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.10189","created_at":"2026-05-18T00:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"P7W3IYOHI2SU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P7W3IYOHI2SUOW2W","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P7W3IYOH","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:dfff4ad695cab2a80953932f589587e41582c9a3c25eda1bbe78d8d3e4c43e31","target":"graph","created_at":"2026-05-18T00:02:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We propose a way to understand the 3 fermion generations by the algebraic structures of noncommutative geometry, which is a promising framework to unify the standard model and general relativity. We make the tensor product extension and the quaternion extension on the framework. Each of the two extensions alone keeps the action invariant, and we consider them as the almost trivial structures of the geometry. We combine the two extensions, and show the corresponding physical effects, i.e., the emergence of 3 fermion generations and the mass relationships among those generations. We define the c","authors_text":"Bo-Qiang Ma, Hefu Yu","cross_cats":["gr-qc","hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-24T05:11:34Z","title":"Origin of fermion generations from extended noncommutative geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.10189","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:70aacde42016b24082e2bc68f8d0e98d97ec9ef3506f0aa5ec2320f80999d463","target":"record","created_at":"2026-05-18T00:02:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"ab608643dee42316726131402ec80e9b33332af0300d1bd41030412f09396e68","cross_cats_sorted":["gr-qc","hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-24T05:11:34Z","title_canon_sha256":"36b2e5484ac514c2d7cb8b25c22d497b7ebc8bd4b0ddedd161b0cb847468f43e"},"schema_version":"1.0","source":{"id":"1810.10189","kind":"arxiv","version":1}},"canonical_sha256":"7fedb461c746a5475b56ad5aee8257f08715616fb0b4e3d39ba3b39e11bfdc64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fedb461c746a5475b56ad5aee8257f08715616fb0b4e3d39ba3b39e11bfdc64","first_computed_at":"2026-05-18T00:02:08.709536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:08.709536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fC99wJWNIVYVLELkAmRtt6SJtiGVJIJ3Q2c8oaJF8Lcx5Dg5LvommJz3bU+ngm5Wd0/PjT9fjv73s/HSYp3zCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:08.710113Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.10189","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70aacde42016b24082e2bc68f8d0e98d97ec9ef3506f0aa5ec2320f80999d463","sha256:dfff4ad695cab2a80953932f589587e41582c9a3c25eda1bbe78d8d3e4c43e31"],"state_sha256":"195391f9b5f1351127d6ad92227f81efb0e2f575180d92aa7e17e989d2ff6a18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j5bbCN2XNvy70avlCQ2iguQTKFR8agQBWXnYleV6rDhjunH4OsJlWqch0Yo19kJ4R2zmrOhUkSmxaL7NDXOnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T15:52:43.450697Z","bundle_sha256":"573903f67e9d0a64c3e411fe9a1ce912d401bfd838819e6c11378850beecaa24"}}